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Finding the Fourth Proportional to 714,740.63, 986,342.06 and 412,934.63

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Solution

The fourth proportional to 714,740.63, 986,342.06 and 412,934.63 is: 569,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,740.63 : 986,342.06 = 412,934.63 : x
  2. Step 2: Convert to fraction form
    714,740.63/986,342.06 = 412,934.63/x
  3. Step 3: Cross multiply
    714,740.63x = 986,342.06 × 412,934.63
  4. Step 4: Simplify right side
    714,740.63x = 407,294,789,700.16
  5. Step 5: Solve for x
    x = 407,294,789,700.16/714,740.63
  6. Step 6: Final answer
    x = 569,849.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.